Question

In what ratio does the point (2, 4) divide the line joining the points (6, 8) and (- 2, 0)?

Answer 1

Answer:

1:1

Step-by-step explanation:

let the line be divided in the ratio of m:n

given

(x1,y1)=(6,8)

(x2,y2)=(-2,0)

p={mx2+nx1} , {my2+ny1}

         m+n           m+n

2={-2m+6n}

         m+n

2m+2n=-2m+6n

4m-4n=0

m-n=0--------(i)

4={m0+n8}

         m+n

4m+4n=8n

m+n=2--------(ii)

adding (i) and (ii)

2m=2

m=1---------(iii)

substitute (iii) in (i)

n=1

so the line is divided in the ratio  1:1

hope it helps